A novel approach for reversible realization of 8-bit adder-subtractor circuit with optimized quantum cost

Low power efficient digital devices are target of researchers in recent years. This aim attracted researchers to focus on the reversible digital circuit design approach. In ideal situations reversible circuits generate zero power loss with improved performance. Reversible circuit design approach is increasingly applied in the area of DNA computing, low power CMOS design, nanotechnology, quantum computing and optical computing etc. This paper presents two design approaches for reversible realization of 8-bit adder-subtractor circuit with optimized quantum cost. These designs are compared with existing designs on some selected performance parameters such as total number of reversible gates, garbage outputs and quantum cost. The proposed design for 8-bit adder-subtractor circuit using reversible approach simulated using Modelsim tool and synthesised for Xilinx Spartan 3E with Device XC3S500E with 200 MHz frequency. This optimized circuit may be utilized further for the designing of low power computing devices.

[1]  M. Saravanan,et al.  Energy efficient code converters using reversible logic gates , 2013, 2013 International Conference on Green High Performance Computing (ICGHPC).

[2]  Rolf Landauer,et al.  Irreversibility and heat generation in the computing process , 1961, IBM J. Res. Dev..

[3]  Katarzyna Radecka,et al.  Reversible adder/subtractor with overflow detector , 2011, 2011 IEEE 54th International Midwest Symposium on Circuits and Systems (MWSCAS).

[4]  Md. Saiful Islam A Novel Quantum Cost Efficient Reversible Full Adder Gate in Nanotechnology , 2010, ArXiv.

[5]  M. Morris Mano,et al.  Digital Logic and Computer Design , 1979 .

[6]  A. G. Rao,et al.  Design of low power comparator circuit based on reversible logic technology , 2013, 2013 1st International Conference on Emerging Trends and Applications in Computer Science.

[7]  A. Prasad Vinod,et al.  Design of Reversible Sequential Elements With Feasibility of Transistor Implementation , 2007, 2007 IEEE International Symposium on Circuits and Systems.

[8]  Thomas L. Floyd Digital Fundamentals , 1986 .

[9]  G.E. Moore,et al.  Cramming More Components Onto Integrated Circuits , 1998, Proceedings of the IEEE.

[10]  N. Ranganathan,et al.  Design of reversible sequential circuits optimizing quantum cost, delay, and garbage outputs , 2010, JETC.

[11]  William I. Fletcher Engineering approach to digital design , 1980 .

[12]  R. G. Bennetts An Engineering Approach to Digital Design , 1980 .

[13]  Abu Sadat Md. Sayem,et al.  Optimization of reversible sequential circuits , 2010, ArXiv.

[14]  N. Ranganathan,et al.  Design of Efficient Reversible Binary Subtractors Based on a New Reversible Gate , 2009, 2009 IEEE Computer Society Annual Symposium on VLSI.

[15]  Hafiz Md. Hasan Babu,et al.  A Low Power Fault Tolerant Reversible Decoder Using MOS Transistors , 2013, 2013 26th International Conference on VLSI Design and 2013 12th International Conference on Embedded Systems.

[16]  Wenjuan Li,et al.  Using new designed NLG gate for the realization of four-bit reversible numerical comparator , 2010, 2010 International Conference on Educational and Network Technology.

[17]  Keivan Navi,et al.  A Novel Reversible Full Adder Circuit for Nanotechnology Based Systems , 2007 .

[18]  A. V. N. Tilak,et al.  Reversible Arithmetic Logic Unit , 2011, 2011 3rd International Conference on Electronics Computer Technology.

[19]  Yu Pang,et al.  A BCD priority encoder designed by reversible logic , 2012, 2012 International Conference on Wavelet Active Media Technology and Information Processing (ICWAMTIP).

[20]  K. B. Raja,et al.  Low Power Reversible Parallel Binary Adder/Subtractor , 2010, VLSIC 2010.

[21]  H. R. Bhagyalakshmi,et al.  Design of Sequential Circuit Elements Using Reversible Logic Gates - TI Journals , 2012 .

[22]  Charles H. Bennett,et al.  Logical reversibility of computation , 1973 .

[23]  Michael P. Frank,et al.  Introduction to reversible computing: motivation, progress, and challenges , 2005, CF '05.

[24]  M.B. Srinivas,et al.  Novel design and reversible logic synthesis of multiplexer based full adder and multipliers , 2005, 48th Midwest Symposium on Circuits and Systems, 2005..

[25]  Mitchell A. Thornton,et al.  Efficient adder circuits based on a conservative reversible logic gate , 2002, Proceedings IEEE Computer Society Annual Symposium on VLSI. New Paradigms for VLSI Systems Design. ISVLSI 2002.

[26]  Vandana Shukla,et al.  A novel approach to design decimal to BCD encoder with reversible logic , 2014, 2014 International Conference on Power, Control and Embedded Systems (ICPCES).

[27]  Atal Chaudhuri,et al.  Realization of a Novel Reversible SCG Gate and its Application for Designing Parallel Adder/Subtractor and Match Logic , 2011 .

[28]  T. Toffoli,et al.  Conservative logic , 2002, Collision-Based Computing.

[29]  Tommaso Toffoli,et al.  Reversible Computing , 1980, ICALP.

[30]  Keivan Navi,et al.  A Novel Fault Tolerant Reversible Gate For Nanotechnology Based Systems , 2008 .

[31]  R Chinmaye,et al.  Design, Optimization and Synthesis of Efficient Reversible Logic Binary Decoder , 2012 .

[32]  N. Ranganathan,et al.  A novel optimization method for reversible logic circuit minimization , 2013, 2013 IEEE Computer Society Annual Symposium on VLSI (ISVLSI).

[33]  Goutam Sanyal,et al.  HMM based Offline Handwritten Writer Independent English Character Recognition using Global and Local Feature Extraction , 2012 .

[34]  Belayet Ali,et al.  Design of a High Performance Reversible Multiplier , 2011 .

[35]  Vandana Shukla,et al.  Design of a 4-bit 2's Complement Reversible Circuit for Arithmetic Logic Unit Applications , 2013 .

[36]  Lavanya Thunuguntla,et al.  Designing of Efficient Online Testable Reversible Multiplexers and DeMultiplexers with New Reversible Gate , 2012 .

[37]  Himanshu Thapliyal,et al.  A New Reversible TSG Gate and Its Application For Designing Efficient Adder Circuits , 2006, ArXiv.

[38]  Pérès,et al.  Reversible logic and quantum computers. , 1985, Physical review. A, General physics.

[39]  Majid Haghparast,et al.  On the Synthesis of Different Nanometric Reversible Converters , 2011 .

[40]  R. Feynman Quantum mechanical computers , 1986 .

[41]  Alva,et al.  Design of Testable Reversible Sequential Circuits , 2014 .